Standard II

Standard II: Students will use patterns and relations to represent mathematical problems and number relationships.

Objective 1: Identify, analyze, and determine rules for describing numerical patterns involving operations and nonnumerical growing patterns.

a. Analyze growing patterns using objects, pictures, numbers, and tables to determine a rule for the pattern.
b. Recognize, represent, and extend simple patterns involving multiples and other number patterns (e.g., square numbers) using objects, pictures, numbers, and tables.
c. Identify simple relationships in real-life contexts and use mathematical operations to describethe pattern (e.g., the number of legs on a given number of chairs may be determined by counting by fours or by multiplying the number of chairs by 4).


Objective 2: Use algebraic expressions, symbols, and properties of the operations to represent, simplify, and solve mathematical equations and inequalities.

a. Use the order of operations to evaluate, simplify, and compare mathematical expressionsinvolving the four operations, parentheses, and the symbols , and =(e.g., 2x (4 - 1) + 3; of the two quantities 7 - (3 - 2) or (7 - 3) - 2, which is greater?).
b. Express single-operation problem situations as equations and solve the equation.
c. Recognize that a symbol represents the same number throughout an equation or expression
d. Describe and use the commutative, associative, distributive, and identity properties of addition and multiplication, and the zero property of multiplication.


inequality